Amenability and weak containment for étale groupoids

Julian Kranz (University of Münster, Germany)

11-Oct-2021, 14:00-15:00 (2 years ago)

Abstract: A famous theorem of Hulanicki says that a locally compact group is amenable if and only if its full and reduced C*-algebras coincide. For groupoids, the situation is more delicate: While amenability implies equatility of the full and reduced C*-algebra, the converse fails according to examples by Willett. The behavior of Willett's groupoids can be explained by their non-exactness. We show that if an étale groupoid satisfies a certain exactness condition, then equality of its full and reduced C*-algebra is equivalent to amenability of the groupoid.

operator algebras

Audience: researchers in the topic


Quantum Groups Seminar [QGS]

Series comments: This seminar aims to bring together experts in the area of quantum groups. The seminar topics will cover the theory of quantum groups and related structures in a large sense: Hopf algebras, operator algebras, q-deformations, higher categories and related branches of noncommutative mathematics.

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Organizers: Rubén Martos, Frank Taipe*, Makoto Yamashita
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